Construction of soliton solutions of the modify unstable nonlinear Schrodinger dynamical equation in fiber optics

被引：52
作者：
Seadawy, A. R. [1 ,2 ]
Iqbal, M. [3 ]
Lu, D. [3 ]
机构：
[1] Taibah Univ, Fac Sci, Math Dept, Medina, Al Munawarah, Saudi Arabia
[2] Beni Suef Univ, Fac Sci, Math Dept, Bani Suwayf, Egypt
[3] Jiangsu Univ, Fac Sci, Zhenjiang 212013, Jiangsu, Peoples R China
来源：
INDIAN JOURNAL OF PHYSICS | 2020年 / 94卷 / 06期
关键词：
Modified extended auxiliary equation mapping method; Modify unstable nonlinear Schrodinger equation; Solitary wave solutions; Exact traveling wave solutions; 02; 30; Jr; 05; 45; Yv; 47; 10; A; 35; +i; Fg; MODULATION INSTABILITY ANALYSIS; POWER-LAW NONLINEARITY; WAVE SOLUTIONS; HIGHER-ORDER; SYSTEM; BRIGHT;
D O I：
10.1007/s12648-019-01532-5
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this research article, we investigated the universal model of integrable system of modify unstable nonlinear Schrodinger equation. The mUNLSE described the disturbance of time period in slightly stable and unstable media and managed the instability of modulation wave train. We found the exact and solitary wave solutions of mUNLSE with the help of modified extended auxiliary equation mapping method. As a result, exact and solitary wave solutions in the form of elliptic functions, trigonometric functions, hyperbolic functions, bright and dark solitons, traveling wave, kink-type solitons and periodic solitary wave solution are obtained. These solutions show the power and effectiveness of this new method and two- and three-dimensional graphically with the help of computer software Mathematica. We can also solve other unstable nonlinear system of PDEs which are involved in Mathematical physics and many other branches of physical sciences with the help of this new method.
引用
收藏
页码：823 / 832
页数：10
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